This is made up of short answer, multiple choice, True/False and application based questions designed to assess your business statistic’s knowledge. This excercise covers all the material presented in the class. Complete the entire excercise, answer the questions thoroughly and provide as much information as needed in your response.
1. What type of research uses numeric measurement data? (Points : 3)
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2. What type of research uses a research hypothesis? (Points : 3) |
3. What type of research does not use statistical data analysis? (Points : 3) |
4. What type of research preempts all other types of research endeavors? (Points : 3) |
5. Business research is a type of ________________ inquiry. (Points : 3) |
6. What are the three main types of non-probability sampling used in business research? (Points : 3) |
7. In a situation where in a confidence level .01 what percent of the measurement results are left to chance? (Points : 3) |
8. What is the most important ingredient in a statistical testing procedure? (Points : 3) |
9. If a production manager wanted to determine whether or not the first shift was processing more widgets than the second shift, what type of statistical process would be used? (Points : 3) |
10. What type of t test seeks to determine whether or not a relationship exists in one sample over two conditions? _______________ (Points : 3) |
11. B, C and F |
12. Select those issues that only relate to selecting a specific statistical test. (Do not select items common to all tests or not applying to statistical tests.) (Points : 3) The distribution (shape) of the population (e.g., normal, skewed, flat, etc.) |
13. A, B, E |
14. H1: There is a significant difference in the teaming behavior before and after the training. |
15. The sole purpose of business research is to increase profit margins? (Points : 1) True |
16. When conducting business research the investigator must make his/her opinions known about possible results? (Points : 1) True |
17. When one is conducting business research the most important factor is developing a reasonable researchable question? (Points : 1) True |
18. Business research should always begin with an alternate hypothesis? (Points : 1) True |
19. The null hypothesis states that a difference, effect or relationship exists in a research situation? (Points : 1) True |
20. The confidence level expresses the degree of certainty that an interval will include the actual value of the population parameter? (Points : 1) True |
21. Calculation: The mean price of 5 items is $7.00. The prices of the first four items are $6.50, $8.00, $5.50 and $6.00. How much does the fifth item cost? (Points : 4) |
22. Calculation: The range of a set of numbers is 1,362. The greatest number is 2,172. What is the least number? (Points : 4) |
23. Calculation: The mean of a set of 7 numbers is 13. What is the sum of the numbers? (Points : 4) |
24. Calculation: Find the mode of the following test scores: 89, 78, 91, 82, 75, 89, 84, 95, 89, 93 (Points : 4) |
25. Calculation: The mean of a set of data is 174.25 and the sum of the data is 1,394. How many numbers are in the set? (Points : 4) |
26. Calculation: The grade point averages of 10 students are listed below. Find the median grade point average. |
27. Calculation: Given the following raw scores, calculate the following values: Range, Variance and Standard Deviation, show your calculations: (Points : 5) |
28. A large mass of data can best be summarized pictorially by means of: (Points : 3) the range |
29. For a symmetric distribution, the mean and median are (Points : 3) the same |
30. A distribution of 6 scores has a median of 21. If the highest score increases 3 points, the median will become (Points : 3) 21 |
31. If you are told a population has a mean of 25 and a variance of 0, what must you conclude? (Points : 3) Someone has made a mistake. |
32. Which of the following measures of central tendency tends to be most influenced by an extreme score? (Points : 3) median |
33. Which of the following is not a measure of central tendency? (Points : 3) mean |
34. A graphical presentation may accomplish ALL BUT which of the following objectives? (Points : 3) Illustrate the amount of variation in the data. |
35. A coach in a large high school thinks that ballet training will improve the batting performance of his baseball team. He decides to have a randomly selected half of the team take six weeks of ballet training before the baseball season begins, while the other half does not take such training. He will then compare the season batting averages of group A (those with ballet training) and group B (those without ballet training) by comparing the mean of group A with the mean of group B. ballet training |
36. Word Problems: Prepare the frequency distribution table and the frequency histogram for this data set. 72 72 93 70 59 78 74 65 73 80 |
37. Word Problems: Compute the sample mean, sample median X(M), sample range, and sample variance. 72 72 93 70 59 78 74 65 73 80 |
38. Word Problem: Does the data set represent a sample or a population? If it is a sample, describe the population from which it has been drawn. 72 72 93 70 59 78 74 65 73 80 |
39. Word Problems: The number of widgets produced by 9 employees in an eight hour shift is recorded as: 135, 120, 116, 119, 121, 125, 135, 131, 123 |
40. Word Problems: The number of widgets produced by 9 employees in an eight hour shift is recorded as: 135, 120, 116, 119, 121, 125, 135, 131, 123 |
41. Word Problems: The number of widgets produced by 9 employees in an eight hour shift is recorded as: 135, 120, 116, 119, 121, 125, 135, 131, 123 |
42. Word Problems: The number of widgets produced by 9 employees in an eight hour shift is recorded as: 135, 120, 116, 119, 121, 125, 135, 131, 123 |
43. Critical Thinking: Two workers on the same job show the following results over a long period of time.
Worker A Worker B Mean time of completing the job (minutes) 30 25 Standard deviation (minutes) 6 4 Which worker appears to be more consistent in the time he requires to complete the job? Explain. (Points : 5) |
44. Critical Thinking: Two workers on the same job show the following results over a long period of time.
Worker A Worker B Mean time of completing the job (minutes) 30 25 Standard deviation (minutes) 6 4 Which worker appears to be faster in completing the job? Explain. (Points : 5) |
45. Critical Thinking: Explain the differences between longitudinal and cross sectional business research studies. |
46. Critical Thinking: Suppose the manager of a plant is concerned with the total number of man-hours lost due to accidents for the past 12 months. The company statistician has reported the mean number of man-hours lost per month but did not keep a record of the total sum. Should the manager order the study repeated to obtain the desired information? Explain your answer clearly. (Points : 10) |
47. Critical Thinking: Explain why histograms and frequency polygons are used in business statistics. (Points : 10) |
48. Critical Thinking: Which two types of probability sampling are best suited for business research and statistical data analysis, and why? (Points : 10) |
49. Critical Thinking: What is the difference between a null hypothesis and an alternate hypothesis? (Points : 10) |
50. Critical Thinking: Explain what is meant by the critical value of a statistical value. (Points : 10) |
51. Critical Thinking: What is the difference between a t test for independent means and a correlated t test? (Points : 10) |
52. Critical Thinking: Explain the .05 confidence level. (Points : 10) |
53. Critical Thinking: How is a research question similar to a research hypothesis? (Points : 10) |
54. Critical Thinking: Describe each of the following statistical terms, and where applicable, define with the appropriate equation: Range, Variance, Standard Deviation (Points : 10) |
55. Critical Thinking: Give a brief definition and an example of the following: |
56. Critical Thinking: What does the correlation coefficient r describe? What about r squared? (Points : 10) |
57. Critical Thinking: Describe some of the issues or concerns (at least three) which would be addressed in deciding how to perform a statistical test of a hypothesis: (Points : 15) |
58. Critical Thinking: Discuss the implications of: magnitude (from 0 to 1); sign ( + or -); and probability versus causality for the Correlation Coefficient (also known as the Pearson Product-Moment Correlation Coefficient). (Points : 15) |
59. Critical Thinking: Describe how you would develop a random sample from among Argosy students (Points : 15) |